What is the probability that a randomly chosen flashlight lasts more than 100 hours? R. 0.41 b) Given that a flashlight lasted more than 100 hours, what is the conditional probability that it was a type 1, 2, or 3 flashlight? R. 14/41; 12/41; 15/41

What is the probability that a randomly chosen flashlight lasts more than 100 hours? R. 0.41 b) Given that a flashlight lasted more than 100 hours, what is the conditional probability that it was a type 1, 2, or 3 flashlight? R. 14/41; 12/41; 15/41

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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Question

One bottle contains 3 different types of disposable flashlights. The probability that a type 1 flashlight lasts more than 100 hours is 0.7, with corresponding probabilities for type 2 and type 3 flashlights of 0.4 and 0.3, respectively. Suppose 20 percent of the flashlights in the boat are type 1, 30 percent are type 2, and 50 percent are

percent are type 3.

a) What is the probability that a randomly chosen flashlight lasts more than 100 hours? R. 0.41

b) Given that a flashlight lasted more than 100 hours, what is the conditional probability that it was a type 1, 2, or 3 flashlight? R. 14/41; 12/41; 15/41

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